Math 142 Chapter 10 Homework Homework will be posted as it becomes available. 


section 
remark 
homework problems 

10.1 sequences 
Review indeterminate forms (L'Hopital's Rule) from Calculus I:


Online HW  
need more practice? 
problems (suggestion: the circled ones)
and solns Varberg, Purcell, Ridgon (8th ed) § 10.1  
10.2 Numerical  Geometric Series 
 
Online HW  
need more practice? 
problems and
solutions Covers: geo. series, telescoping series, and nth term test for divg. Varberg, Purcell, Ridgon (8th ed) § 10.2.  
Postivetermed Numermical Series  
10.3 Integral Test  Online HW  
need more practice? 
problems and
solutions Varberg, Purcell, Ridgon (8th ed) § 10.3  
10.2&10.3  A practice quiz. (soln)  
10.4 Direct Comparison Test (DCT) and Limit Comparison Test (LCT) for Series  Online HW  
OffLine HW
helpful intuition needed: 10.3vs10.4 
Do problems 40 and 41 of these
DCT/LCT
for series practice problems
(soln),
which are from another textbook.
 
need more practice? 
problems and
solutions Do at least: 1,2,3, 5, 7, 9, 11, 13, 17, 21, 29, 31, 39, 43 Stewart (6th ed, ET), §11.4. 

A practice quiz. (soln)  
Thus far we looked at positivetermed series, which were either convergent (to a finite number) or divergent (to infinity). Now we will look at arbitrarytermed (not necessarily positivetermed) series, which can be either: absolutely convergent (AC), conditionally convergent (CC), or divergent (DVG). 

10.5 Ratio/Root Tests  Online HW  
A practice quiz. (soln)  
10.4&10.5 DCT/LCT&  need more practice? 
problems
and
solutions
Varberg, Purcell, Ridgon (8th ed) § 10.4  
A practice quiz.
(soln) The first problem can be (correctly) done using either DCT or LCT. Which way do you like better? 

10.6 Alternating Series Test 
Online HW  
need more practice? 
problems
and solutions
Varberg, Purcell, Ridgon (8th ed) § 10.5  
Review of Numerical Series: § 10.210.6  
10.210.6: Review Problems 
Determine whether the given series is AC, CC, or divergent.
From 38
Serious Series Problems,
do at least the odd's (omit 29).  
Determine whether the given series is AC, CC, or divergent.
Do each of these
15
Serious Series Problems.  
10.7 Power Series 
Online HW  
Practice
Problem 0 for §10.7: Power Series
(soln) Problems 0.1  0.3 are for Part 1 while 0.4 is for Part 2.  
Part 1: basics (AC/CC/DVG) 
To start, 7 (=1+6)
homework problems. Sol'n to the first problem as well as the other 6 problems.  
Part 2: Operations on Power Series 
From another book
§11.9 homework
set do:
1, 5, 7, 11, 13, 14, 15, 23. If asked to find a power series representation of a function and a center is not specified, choose whatever center you want (the solns chose zero). (soln) Stewart (6th ed, ET), §11.9.  
10.TS Taylor Series (in book: 10.810.10)  Needed Resources and Solutions 
 
Part 0: Intro. to 
Review the Introduction to
Taylor Polynominals.
Nice videos visually illustrating convergence for the  
Part 1: Taylor Polynomial  Online HW: 10.TS Part 1: Taylor Polynomials.
Do parts ac from the Practice Problem 0 for Taylor Series. Do parts ab for each of the 3 problems in Taylor Series HMWK.  
Part 2: Taylor Series  Online HW: 10.TS Part 2.
Do parts de from the Practice Problem 0 for Taylor Series. Do parts cf for each of the 3 problems in Taylor Series HMWK.  
Part 3: Taylor Remainder  Online HW: 10.TS Part 3.
Do part f from the Practice Problem 0 for Taylor Series. Do parts gi for each of the 3 problems in Taylor Series HMWK.  
Part 4: Commonly Used Series  Online HW: 10.TS Part 4. No offline homework.  
Solutions to a sample Taylor Remainder Quiz (Fall 2016). 